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5\times 4.5=3x
Multiply both sides of the equation by 300, the least common multiple of 60,100.
22.5=3x
Multiply 5 and 4.5 to get 22.5.
3x=22.5
Swap sides so that all variable terms are on the left hand side.
x=\frac{22.5}{3}
Divide both sides by 3.
x=\frac{225}{30}
Expand \frac{22.5}{3} by multiplying both numerator and the denominator by 10.
x=\frac{15}{2}
Reduce the fraction \frac{225}{30} to lowest terms by extracting and canceling out 15.